Publications
The Six Birds series: emergence calculus and its applications to life, physics, agency, time, geometry, quantum theory, and cosmology.
The Six Birds Series
Eight essays that make the emergence calculus accessible — one companion article for each research paper.
Six Birds theory proposes that stable objects at every scale emerge through six structural primitives — a framework called the emergence calculus.
Biology has struggled to define life for centuries. The emergence calculus doesn't define it — it measures it.
Quantum mechanics and fluid dynamics look nothing alike — but under the emergence calculus, both are solving the same structural problem.
Philosophy has debated agency for millennia. Six Birds sidesteps the debate: an agent is a subsystem that maintains its own coherence.
The emergence calculus treats time not as a background given but as a closure artifact — assembled from ordering, ticking, and irreversible records.
In the emergence calculus, points are packaged macro-states and distance is optimized accounting. Even the Pythagorean theorem can emerge.
Six Birds theory proposes that dark energy may be a correction term forced by averaging an inhomogeneous universe.
Six Birds reframes quantum collapse, contextuality, and Schrödinger's cat as bookkeeping artifacts.
Research papers
Full research preprints with proofs, experiments, and reproducible code.
Math-only framework for how stable objects and open-ended novelty emerge via lenses, packaging rules, and audits across scales.
Applies the emergence calculus to life: calibrated zero baselines, separable energy drive, and controlled life-like claims across particle and neural substrates.
Applies the same three checks (stability, information monotonicity, and evolution-vs-packaging mismatch) to four physics models: quantum, kinetic, fluid, and gravitational.
Separates "being a persistent thing" (agenthood) from "making a measurable difference" (agency), using survival guarantees, causal impact scores, and packaging stability.
Asks whether dark energy could be a correction term forced by averaging an inhomogeneous universe, rather than a fundamental substance.
Treats time not as a background given, but as something assembled from three ingredients: a stable ordering, repeatable ticks, and irreversible records.
Constructs points, distances, and curvature from scratch: points are groups of indistinguishable states, distance is minimum transition cost, and curvature is detected as loop mismatch.
Recasts quantum "collapse" as a packaging step: objects form when stable records do, not through a new physical law. Backed by Lean proofs and reproducible simulations.